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Finding the Third Proportional to 9,605 and 18,535

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Solution

The third proportional to 9,605 and 18,535 is: 35,767.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,605 : 18,535 = 18,535 : x
  2. Step 2: Convert to fraction form
    9,605/18,535 = 18,535/x
  3. Step 3: Cross multiply
    9,605x = 18,535 × 18,535
  4. Step 4: Simplify right side
    9,605x = 343,546,225
  5. Step 5: Solve for x
    x = 343,546,225/9,605
  6. Step 6: Final answer
    x = 35,767.44

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Why These Related Problems?

These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.